(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     38705,       1444]
NotebookOptionsPosition[     26734,       1045]
NotebookOutlinePosition[     33233,       1236]
CellTagsIndexPosition[     33118,       1230]
WindowTitle->Convolute
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[{
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "See Also",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"See Also", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"PlusDistribution\"\>":>
       Documentation`HelpLookup[
       "paclet:FeynCalc/ref/PlusDistribution"], "\<\"ConvoluteTable\"\>":>
       Documentation`HelpLookup["paclet:FeynCalc/ref/ConvoluteTable"]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"SeeAlso"]],
      LineSpacing->{1.4, 0}],
     "\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\[ThickSpace]\
\[ThickSpace]",
     Cell[BoxData[
      ActionMenuBox[
       FrameBox[
        InterpretationBox[Cell[TextData[{
          "URL",
          StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
           StripOnInput->False]
         }]],
         TextCell[
          Row[{"URL", 
            Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
        StripOnInput->False], {"\<\"FeynCalc/ref/Convolute\"\>":>
       None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell["FeynCalc/ref/Convolute"]}, Visible -> False]]; 
        SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; Null], 
       Delimiter, "\<\"Copy web URL\"\>":>
       Module[{DocumentationSearch`Private`nb$}, 
        DocumentationSearch`Private`nb$ = NotebookPut[
           Notebook[{
             Cell[
              BoxData[
               MakeBoxes[
                Hyperlink[
                "http://reference.wolfram.com/language/FeynCalc/ref/Convolute.\
html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
            False]]; SelectionMove[
         DocumentationSearch`Private`nb$, All, Notebook]; 
        FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
        NotebookClose[DocumentationSearch`Private`nb$]; 
        Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
         NotebookLocate[{
           URL[
            StringJoin[
             If[
              TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$46532], 
              "http://reference.wolfram.com/system-modeler/", 
              "http://reference.wolfram.com/language/"], 
             "FeynCalc/ref/Convolute", ".html"]], None}]}]},
       Appearance->None,
       MenuAppearance->Automatic,
       MenuStyle->"URLMenu"]],
      LineSpacing->{1.4, 0}]
    }], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["Convolute", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[CellGroupData[{

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"Convolute", "[", 
       RowBox[{"f", ",", " ", "g", ",", " ", "x"}], "]"}]], "InlineFormula"],
     " \[LineSeparator]",
     "convolutes ",
     StyleBox["f",
      FontSlant->"Italic"],
     "(",
     StyleBox["x",
      FontSlant->"Italic"],
     ") and ",
     StyleBox["g",
      FontSlant->"Italic"],
     "(",
     StyleBox["x",
      FontSlant->"Italic"],
     "), i.e., ",
     Cell[BoxData[
      FormBox[
       RowBox[{
        SubsuperscriptBox["\[Integral]", "0", "1"], 
        RowBox[{
         SubscriptBox[
          StyleBox[
           RowBox[{
            StyleBox["d",
             FontSlant->"Plain"], 
            StyleBox["x",
             FontSlant->"Italic"]}]], "1"], " ", 
         RowBox[{
          SubsuperscriptBox["\[Integral]", "0", "1"], 
          RowBox[{
           SubscriptBox[
            StyleBox[
             RowBox[{
              StyleBox["d",
               FontSlant->"Plain"], "x"}]], "2"], " ", 
           RowBox[{"\[Delta]", "(", 
            RowBox[{"x", " ", "-", " ", 
             RowBox[{
              SubscriptBox["x", "1"], " ", 
              SubscriptBox["x", "2"]}]}], ")"}], " ", 
           RowBox[{"f", "(", 
            SubscriptBox["x", "1"], ")"}], " ", 
           RowBox[{
            RowBox[{"g", "(", 
             SubscriptBox["x", "2"], ")"}], " ", "."}]}]}]}]}], 
       TraditionalForm]]],
     " Convolute[f, g] is equivalent to Convolute[f, g, x]. Convolute[exp, \
{x1, x2}] assumes that exp is polynomial in x1 and x2. Convolute uses \
table-look-up and does not do any integral calculations, only linear \
algebra."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[Cell[BoxData[
 ButtonBox[Cell[TextData[{
   Cell[BoxData[
    InterpretationBox[
     StyleBox[
      GraphicsBox[{},
       BaselinePosition->Baseline,
       ImageSize->{6, 0}],
      CacheGraphics->False],
     Spacer[6]]]],
   "Details"
  }], "NotesFrameText"],
  Appearance->{Automatic, None},
  BaseStyle->None,
  ButtonFunction:>(FrontEndExecute[{
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], All, ButtonCell], 
     FrontEndToken["OpenCloseGroup"], 
     FrontEnd`SelectionMove[
      FrontEnd`SelectedNotebook[], After, CellContents]}]& ),
  Evaluator->None,
  Method->"Preemptive"]]]], "NotesSection",
 WholeCellGroupOpener->True,
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->1389529439],

Cell["", "SectionHeaderSpacer"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Options", "[", "Convolute", "]"}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[490]:=",
 CellID->846637972],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{"Bracket", "\[Rule]", 
     RowBox[{"{", 
      TagBox["\[CurlyEpsilon]",
       TraditionalForm], "}"}]}], ",", 
    RowBox[{"FinalSubstitutions", "\[Rule]", 
     RowBox[{"{", 
      RowBox[{"PlusDistribution", "\[Rule]", "Identity"}], "}"}]}]}], "}"}], 
  TraditionalForm]], "Output",
 ImageSize->{398, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[490]="]
}, Open  ]]
}, Closed]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->468630048],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->47856790],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", "1"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[1]:=",
 CellID->1183792130],

Cell[BoxData[
 FormBox[
  RowBox[{"-", 
   RowBox[{"log", "(", "x", ")"}]}], TraditionalForm]], "Output",
 ImageSize->{58, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"x", ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[2]:=",
 CellID->566730399],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    SuperscriptBox["x", "2"]}], " ", 
   RowBox[{"log", "(", "x", ")"}]}], TraditionalForm]], "Output",
 ImageSize->{80, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[2]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[3]:=",
 CellID->1354290721],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", "x"}], " ", 
   RowBox[{"log", "(", "x", ")"}]}], TraditionalForm]], "Output",
 ImageSize->{72, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[3]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[4]:=",
 CellID->694658515],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"log", "(", "x", ")"}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{51, 34},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[4]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    RowBox[{"PlusDistribution", "[", 
     FractionBox["1", 
      RowBox[{"1", "-", "x"}]], "]"}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[5]:=",
 CellID->1694510014],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"log", "(", "x", ")"}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{51, 34},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[5]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[6]:=",
 CellID->640655392],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"x", " ", 
    RowBox[{"log", "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{65, 34},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[6]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[7]:=",
 CellID->440037844],

Cell[BoxData[
 FormBox[
  RowBox[{"-", 
   FractionBox[
    RowBox[{"log", "(", "x", ")"}], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"x", "-", "1"}], ")"}], "2"]]}], TraditionalForm]], "Output",
 ImageSize->{73, 39},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[7]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    RowBox[{"Log", "[", 
     RowBox[{"1", "-", "x"}], "]"}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[8]:=",
 CellID->151808165],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    RowBox[{"log", "(", 
     RowBox[{"1", "-", "x"}], ")"}]}], " ", 
   RowBox[{"log", "(", "x", ")"}]}], TraditionalForm]], "Output",
 ImageSize->{127, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[8]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    RowBox[{"x", " ", 
     RowBox[{"Log", "[", 
      RowBox[{"1", "-", "x"}], "]"}]}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[9]:=",
 CellID->1563371513],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", "x"}], " ", 
   RowBox[{"log", "(", 
    RowBox[{"1", "-", "x"}], ")"}], " ", 
   RowBox[{"log", "(", "x", ")"}]}], TraditionalForm]], "Output",
 ImageSize->{141, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[9]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    RowBox[{"Log", "[", 
     RowBox[{"1", "-", "x"}], "]"}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[10]:=",
 CellID->1082077962],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    RowBox[{"log", "(", 
     RowBox[{"1", "-", "x"}], ")"}], " ", 
    RowBox[{"log", "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{120, 35},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[10]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    RowBox[{"x", " ", 
     RowBox[{"Log", "[", 
      RowBox[{"1", "-", "x"}], "]"}]}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[11]:=",
 CellID->1247483115],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"x", " ", 
    RowBox[{"log", "(", 
     RowBox[{"1", "-", "x"}], ")"}], " ", 
    RowBox[{"log", "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{134, 35},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[11]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox[
     RowBox[{"Log", "[", 
      RowBox[{"1", "-", "x"}], "]"}], 
     RowBox[{"1", "-", "x"}]], ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[12]:=",
 CellID->2055743895],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"x", " ", 
    RowBox[{"log", "(", 
     RowBox[{"1", "-", "x"}], ")"}], " ", 
    RowBox[{"log", "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{134, 35},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[12]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    RowBox[{"x", " ", 
     RowBox[{"Log", "[", "x", "]"}]}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[13]:=",
 CellID->1292595425],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", "x"}], " ", 
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}]}], TraditionalForm]], "Output",\

 ImageSize->{79, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[13]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    RowBox[{"Log", "[", 
     RowBox[{"1", "-", "x"}], "]"}], ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[14]:=",
 CellID->342391696],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", "x"}], " ", 
   RowBox[{"log", "(", 
    RowBox[{"1", "-", "x"}], ")"}], " ", 
   RowBox[{"log", "(", "x", ")"}]}], TraditionalForm]], "Output",
 ImageSize->{141, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[14]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    FractionBox[
     RowBox[{"Log", "[", "x", "]"}], 
     RowBox[{"1", "-", "x"}]]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[15]:=",
 CellID->1164478774],

Cell[BoxData[
 FormBox[
  RowBox[{"-", 
   FractionBox[
    RowBox[{
     SuperscriptBox["log", "2"], "(", "x", ")"}], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"x", "-", "1"}], ")"}], "2"]]}], TraditionalForm]], "Output",
 ImageSize->{73, 43},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[15]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    RowBox[{"Log", "[", "x", "]"}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[16]:=",
 CellID->260971955],

Cell[BoxData[
 FormBox[
  RowBox[{"-", 
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}]}], TraditionalForm]], "Output",\

 ImageSize->{65, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[16]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"x", ",", " ", 
    RowBox[{"x", " ", 
     RowBox[{"Log", "[", "x", "]"}]}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[17]:=",
 CellID->935305016],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    SuperscriptBox["x", "2"]}], " ", 
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}]}], TraditionalForm]], "Output",\

 ImageSize->{87, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[17]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    RowBox[{"Log", "[", "x", "]"}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[18]:=",
 CellID->63581574],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{58, 38},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[18]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    FractionBox[
     RowBox[{"Log", "[", "x", "]"}], 
     RowBox[{"1", "-", "x"}]]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[19]:=",
 CellID->1271585721],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{58, 38},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[19]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    RowBox[{"x", " ", 
     RowBox[{"Log", "[", "x", "]"}]}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[20]:=",
 CellID->1377475961],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"x", " ", 
    RowBox[{
     SuperscriptBox["log", "2"], "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{72, 38},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[20]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox[
     RowBox[{"Log", "[", "x", "]"}], 
     RowBox[{"1", "-", "x"}]], ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[21]:=",
 CellID->2045548358],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"x", " ", 
    RowBox[{
     SuperscriptBox["log", "2"], "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{72, 38},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[21]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{"1", ",", 
    RowBox[{"x", " ", 
     RowBox[{"Log", "[", "x", "]"}]}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[22]:=",
 CellID->1793379008],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", "x"}], " ", 
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}]}], TraditionalForm]], "Output",\

 ImageSize->{79, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[22]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    RowBox[{"Log", "[", "x", "]"}], ",", "x"}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[23]:=",
 CellID->1760428538],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", "x"}], " ", 
   RowBox[{
    SuperscriptBox["log", "2"], "(", "x", ")"}]}], TraditionalForm]], "Output",\

 ImageSize->{79, 18},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[23]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox["1", 
     RowBox[{"1", "-", "x"}]], ",", 
    FractionBox[
     RowBox[{"Log", "[", 
      RowBox[{"1", "-", "x"}], "]"}], 
     RowBox[{"1", "-", "x"}]]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[24]:=",
 CellID->379553048],

Cell[BoxData[
 FormBox[
  RowBox[{"-", 
   FractionBox[
    RowBox[{
     RowBox[{"log", "(", 
      RowBox[{"1", "-", "x"}], ")"}], " ", 
     RowBox[{"log", "(", "x", ")"}]}], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"x", "-", "1"}], ")"}], "2"]]}], TraditionalForm]], "Output",
 ImageSize->{131, 40},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[24]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Convolute", "[", 
   RowBox[{
    FractionBox[
     RowBox[{"Log", "[", 
      RowBox[{"1", "-", "x"}], "]"}], 
     RowBox[{"1", "-", "x"}]], ",", 
    RowBox[{"Log", "[", 
     RowBox[{"1", "-", "x"}], "]"}]}], "]"}], "/.", 
  RowBox[{
   RowBox[{"FCGV", "[", "z_", "]"}], "\[RuleDelayed]", 
   RowBox[{"ToExpression", "[", "z", "]"}]}]}]], "Input",
 CellTags->"Convolute",
 CellLabel->"In[25]:=",
 CellID->1743318528],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    RowBox[{
     SuperscriptBox["log", "2"], "(", 
     RowBox[{"1", "-", "x"}], ")"}], " ", 
    RowBox[{"log", "(", "x", ")"}]}], 
   RowBox[{"x", "-", "1"}]], TraditionalForm]], "Output",
 ImageSize->{127, 38},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"Convolute",
 CellLabel->"Out[25]="]
}, Open  ]]
}, Open  ]],

Cell["", "SectionFooterSpacer"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "See Also"
}], "SeeAlsoSection",
 WholeCellGroupOpener->True,
 CellID->1255426704],

Cell[TextData[{
 StyleBox[ButtonBox["PlusDistribution",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/PlusDistribution",
  ButtonNote->"PlusDistribution"],
  FontFamily->"Verdana"],
 ", ",
 StyleBox[ButtonBox["ConvoluteTable",
  BaseStyle->"Link",
  ButtonData->"paclet:FeynCalc/ref/ConvoluteTable",
  ButtonNote->"ConvoluteTable"],
  FontFamily->"Verdana"],
 "."
}], "SeeAlso"]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"Convolute",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 3, 12.734971}", 
    "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "Convolute[f, g, x] convolutes f(x) and g(x), i.e., \\[Integral]_0^1dx \
1\\ \\[Integral]_0^1dx 2\\ \\[Delta](x\\ - \\ x1\\ x2)\\ f( x1)\\ g(x2)\\ . \
Convolute[f, g] is equivalent to Convolute[f, g, x]. Convolute[exp, {x1, x2}] \
assumes that exp is polynomial in x1 and x2. Convolute uses table-look-up and \
does not do any integral calculations, only linear algebra.", 
    "synonyms" -> {}, "tabletags" -> {}, "title" -> "Convolute", 
    "titlemodifier" -> "", "windowtitle" -> "Convolute", "type" -> "Symbol", 
    "uri" -> "FeynCalc/ref/Convolute"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "Convolute"->{
  Cell[6706, 208, 137, 4, 70, "Input",
   CellTags->"Convolute",
   CellID->846637972],
  Cell[6846, 214, 488, 16, 37, "Output",
   CellTags->"Convolute"],
  Cell[8026, 266, 287, 9, 29, "Input",
   CellTags->"Convolute",
   CellID->1183792130],
  Cell[8316, 277, 239, 8, 37, "Output",
   CellTags->"Convolute"],
  Cell[8592, 290, 286, 9, 29, "Input",
   CellTags->"Convolute",
   CellID->566730399],
  Cell[8881, 301, 289, 10, 39, "Output",
   CellTags->"Convolute"],
  Cell[9207, 316, 287, 9, 29, "Input",
   CellTags->"Convolute",
   CellID->1354290721],
  Cell[9497, 327, 263, 9, 37, "Output",
   CellTags->"Convolute"],
  Cell[9797, 341, 335, 11, 52, "Input",
   CellTags->"Convolute",
   CellID->694658515],
  Cell[10135, 354, 266, 9, 55, "Output",
   CellTags->"Convolute"],
  Cell[10438, 368, 383, 12, 52, "Input",
   CellTags->"Convolute",
   CellID->1694510014],
  Cell[10824, 382, 266, 9, 55, "Output",
   CellTags->"Convolute"],
  Cell[11127, 396, 335, 11, 52, "Input",
   CellTags->"Convolute",
   CellID->640655392],
  Cell[11465, 409, 291, 10, 55, "Output",
   CellTags->"Convolute"],
  Cell[11793, 424, 384, 13, 52, "Input",
   CellTags->"Convolute",
   CellID->440037844],
  Cell[12180, 439, 341, 12, 60, "Output",
   CellTags->"Convolute"],
  Cell[12558, 456, 344, 11, 29, "Input",
   CellTags->"Convolute",
   CellID->151808165],
  Cell[12905, 469, 322, 11, 37, "Output",
   CellTags->"Convolute"],
  Cell[13264, 485, 372, 12, 29, "Input",
   CellTags->"Convolute",
   CellID->1563371513],
  Cell[13639, 499, 330, 11, 37, "Output",
   CellTags->"Convolute"],
  Cell[14006, 515, 395, 13, 52, "Input",
   CellTags->"Convolute",
   CellID->1082077962],
  Cell[14404, 530, 351, 12, 56, "Output",
   CellTags->"Convolute"],
  Cell[14792, 547, 422, 14, 52, "Input",
   CellTags->"Convolute",
   CellID->1247483115],
  Cell[15217, 563, 361, 12, 56, "Output",
   CellTags->"Convolute"],
  Cell[15615, 580, 397, 13, 53, "Input",
   CellTags->"Convolute",
   CellID->2055743895],
  Cell[16015, 595, 361, 12, 56, "Output",
   CellTags->"Convolute"],
  Cell[16413, 612, 346, 11, 29, "Input",
   CellTags->"Convolute",
   CellID->1292595425],
  Cell[16762, 625, 292, 11, 39, "Output",
   CellTags->"Convolute"],
  Cell[17091, 641, 345, 11, 29, "Input",
   CellTags->"Convolute",
   CellID->342391696],
  Cell[17439, 654, 331, 11, 37, "Output",
   CellTags->"Convolute"],
  Cell[17807, 670, 419, 14, 53, "Input",
   CellTags->"Convolute",
   CellID->1164478774],
  Cell[18229, 686, 369, 13, 64, "Output",
   CellTags->"Convolute"],
  Cell[18635, 704, 319, 10, 29, "Input",
   CellTags->"Convolute",
   CellID->260971955],
  Cell[18957, 716, 268, 10, 39, "Output",
   CellTags->"Convolute"],
  Cell[19262, 731, 350, 11, 29, "Input",
   CellTags->"Convolute",
   CellID->935305016],
  Cell[19615, 744, 318, 12, 39, "Output",
   CellTags->"Convolute"],
  Cell[19970, 761, 367, 12, 52, "Input",
   CellTags->"Convolute",
   CellID->63581574],
  Cell[20340, 775, 293, 10, 59, "Output",
   CellTags->"Convolute"],
  Cell[20670, 790, 370, 12, 53, "Input",
   CellTags->"Convolute",
   CellID->1271585721],
  Cell[21043, 804, 293, 10, 59, "Output",
   CellTags->"Convolute"],
  Cell[21373, 819, 395, 13, 52, "Input",
   CellTags->"Convolute",
   CellID->1377475961],
  Cell[21771, 834, 319, 11, 59, "Output",
   CellTags->"Convolute"],
  Cell[22127, 850, 370, 12, 53, "Input",
   CellTags->"Convolute",
   CellID->2045548358],
  Cell[22500, 864, 319, 11, 59, "Output",
   CellTags->"Convolute"],
  Cell[22856, 880, 346, 11, 29, "Input",
   CellTags->"Convolute",
   CellID->1793379008],
  Cell[23205, 893, 292, 11, 39, "Output",
   CellTags->"Convolute"],
  Cell[23534, 909, 320, 10, 29, "Input",
   CellTags->"Convolute",
   CellID->1760428538],
  Cell[23857, 921, 292, 11, 39, "Output",
   CellTags->"Convolute"],
  Cell[24186, 937, 445, 15, 53, "Input",
   CellTags->"Convolute",
   CellID->379553048],
  Cell[24634, 954, 429, 15, 61, "Output",
   CellTags->"Convolute"],
  Cell[25100, 974, 455, 15, 53, "Input",
   CellTags->"Convolute",
   CellID->1743318528],
  Cell[25558, 991, 378, 13, 59, "Output",
   CellTags->"Convolute"]},
 "PrimaryExamplesSection"->{
  Cell[7395, 237, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->468630048]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"Convolute", 28814, 1092},
 {"PrimaryExamplesSection", 32975, 1223}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[581, 21, 3127, 76, 53, "AnchorBarGrid",
 CellID->1],
Cell[3711, 99, 286, 11, 45, "ObjectNameGrid"],
Cell[CellGroupData[{
Cell[4022, 114, 1861, 60, 126, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[5908, 178, 739, 24, 31, "NotesSection",
 CellGroupingRules->{"SectionGrouping", 50},
 CellID->1389529439],
Cell[6650, 204, 31, 0, 70, "SectionHeaderSpacer"],
Cell[CellGroupData[{
Cell[6706, 208, 137, 4, 70, "Input",
 CellTags->"Convolute",
 CellID->846637972],
Cell[6846, 214, 488, 16, 37, "Output",
 CellTags->"Convolute"]
}, Open  ]]
}, Closed]]
}, Open  ]],
Cell[CellGroupData[{
Cell[7395, 237, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->468630048],
Cell[CellGroupData[{
Cell[7807, 256, 194, 6, 26, "ExampleSection",
 CellID->47856790],
Cell[CellGroupData[{
Cell[8026, 266, 287, 9, 29, "Input",
 CellTags->"Convolute",
 CellID->1183792130],
Cell[8316, 277, 239, 8, 37, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[8592, 290, 286, 9, 29, "Input",
 CellTags->"Convolute",
 CellID->566730399],
Cell[8881, 301, 289, 10, 39, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[9207, 316, 287, 9, 29, "Input",
 CellTags->"Convolute",
 CellID->1354290721],
Cell[9497, 327, 263, 9, 37, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[9797, 341, 335, 11, 52, "Input",
 CellTags->"Convolute",
 CellID->694658515],
Cell[10135, 354, 266, 9, 55, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[10438, 368, 383, 12, 52, "Input",
 CellTags->"Convolute",
 CellID->1694510014],
Cell[10824, 382, 266, 9, 55, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[11127, 396, 335, 11, 52, "Input",
 CellTags->"Convolute",
 CellID->640655392],
Cell[11465, 409, 291, 10, 55, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[11793, 424, 384, 13, 52, "Input",
 CellTags->"Convolute",
 CellID->440037844],
Cell[12180, 439, 341, 12, 60, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[12558, 456, 344, 11, 29, "Input",
 CellTags->"Convolute",
 CellID->151808165],
Cell[12905, 469, 322, 11, 37, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[13264, 485, 372, 12, 29, "Input",
 CellTags->"Convolute",
 CellID->1563371513],
Cell[13639, 499, 330, 11, 37, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[14006, 515, 395, 13, 52, "Input",
 CellTags->"Convolute",
 CellID->1082077962],
Cell[14404, 530, 351, 12, 56, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[14792, 547, 422, 14, 52, "Input",
 CellTags->"Convolute",
 CellID->1247483115],
Cell[15217, 563, 361, 12, 56, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[15615, 580, 397, 13, 53, "Input",
 CellTags->"Convolute",
 CellID->2055743895],
Cell[16015, 595, 361, 12, 56, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[16413, 612, 346, 11, 29, "Input",
 CellTags->"Convolute",
 CellID->1292595425],
Cell[16762, 625, 292, 11, 39, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[17091, 641, 345, 11, 29, "Input",
 CellTags->"Convolute",
 CellID->342391696],
Cell[17439, 654, 331, 11, 37, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[17807, 670, 419, 14, 53, "Input",
 CellTags->"Convolute",
 CellID->1164478774],
Cell[18229, 686, 369, 13, 64, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[18635, 704, 319, 10, 29, "Input",
 CellTags->"Convolute",
 CellID->260971955],
Cell[18957, 716, 268, 10, 39, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[19262, 731, 350, 11, 29, "Input",
 CellTags->"Convolute",
 CellID->935305016],
Cell[19615, 744, 318, 12, 39, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[19970, 761, 367, 12, 52, "Input",
 CellTags->"Convolute",
 CellID->63581574],
Cell[20340, 775, 293, 10, 59, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[20670, 790, 370, 12, 53, "Input",
 CellTags->"Convolute",
 CellID->1271585721],
Cell[21043, 804, 293, 10, 59, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[21373, 819, 395, 13, 52, "Input",
 CellTags->"Convolute",
 CellID->1377475961],
Cell[21771, 834, 319, 11, 59, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[22127, 850, 370, 12, 53, "Input",
 CellTags->"Convolute",
 CellID->2045548358],
Cell[22500, 864, 319, 11, 59, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[22856, 880, 346, 11, 29, "Input",
 CellTags->"Convolute",
 CellID->1793379008],
Cell[23205, 893, 292, 11, 39, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[23534, 909, 320, 10, 29, "Input",
 CellTags->"Convolute",
 CellID->1760428538],
Cell[23857, 921, 292, 11, 39, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[24186, 937, 445, 15, 53, "Input",
 CellTags->"Convolute",
 CellID->379553048],
Cell[24634, 954, 429, 15, 61, "Output",
 CellTags->"Convolute"]
}, Open  ]],
Cell[CellGroupData[{
Cell[25100, 974, 455, 15, 53, "Input",
 CellTags->"Convolute",
 CellID->1743318528],
Cell[25558, 991, 378, 13, 59, "Output",
 CellTags->"Convolute"]
}, Open  ]]
}, Open  ]],
Cell[25963, 1008, 31, 0, 29, "SectionFooterSpacer"]
}, Open  ]],
Cell[CellGroupData[{
Cell[26031, 1013, 270, 12, 31, "SeeAlsoSection",
 CellID->1255426704],
Cell[26304, 1027, 388, 13, 56, "SeeAlso"]
}, Open  ]],
Cell[26707, 1043, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

